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Finding the Fourth Proportional to 708, 1,062.18 and 269.43

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Solution

The fourth proportional to 708, 1,062.18 and 269.43 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,062.18 = 269.43 : x
  2. Step 2: Convert to fraction form
    708/1,062.18 = 269.43/x
  3. Step 3: Cross multiply
    708x = 1,062.18 × 269.43
  4. Step 4: Simplify right side
    708x = 286,183.16
  5. Step 5: Solve for x
    x = 286,183.16/708
  6. Step 6: Final answer
    x = 404.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.